MATH 205 Midterm: MATH 205 KSU Test 2s99
15 Feb 2019
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K-state honor code: on my honor, as a student, i have neither given nor received unauthorized aid on this academic work. Equation of the tangent line: y = f (a)(x a) + f (a) (f (g(x)) = f (g(x)) g (x) (f (x)g(x)) = f (x)g(x) + f (x)g (x) f (x)g(x) f (x)g (x) g(x)(cid:19) (cid:18) f (x) (g(x))2. Total: 100 #1 #2 #3 #4 #5 #6 #7 #8. Find the equation of the tangent line to the graph of the function f (x) = 5x at x = 1. On the same axis sketch carefully the graph of the derivative of the function given by the following graph. For the function f (x) = 2x4 8x: find all critical points, identify each critical point as a local maximum, a local minimum or neither, circle what test did you use: 2nd derivative test: find all in ection points.
